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Wide Neural Networks Trained with Weight Decay Provably Exhibit Neural
  Collapse

Wide Neural Networks Trained with Weight Decay Provably Exhibit Neural Collapse

7 October 2024
Arthur Jacot
Peter Súkeník
Zihan Wang
Marco Mondelli
ArXiv (abs)PDFHTML

Papers citing "Wide Neural Networks Trained with Weight Decay Provably Exhibit Neural Collapse"

17 / 17 papers shown
Title
Average gradient outer product as a mechanism for deep neural collapse
Average gradient outer product as a mechanism for deep neural collapse
Daniel Beaglehole
Peter Súkeník
Marco Mondelli
Misha Belkin
AI4CE
67
13
0
21 Feb 2024
Which Frequencies do CNNs Need? Emergent Bottleneck Structure in Feature Learning
Which Frequencies do CNNs Need? Emergent Bottleneck Structure in Feature Learning
Yuxiao Wen
Arthur Jacot
102
7
0
12 Feb 2024
Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss
  with Imbalanced Data
Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data
Wanli Hong
Shuyang Ling
53
17
0
18 Sep 2023
Towards Understanding Neural Collapse: The Effects of Batch
  Normalization and Weight Decay
Towards Understanding Neural Collapse: The Effects of Batch Normalization and Weight Decay
Leyan Pan
Xinyuan Cao
40
5
0
09 Sep 2023
No Fear of Classifier Biases: Neural Collapse Inspired Federated
  Learning with Synthetic and Fixed Classifier
No Fear of Classifier Biases: Neural Collapse Inspired Federated Learning with Synthetic and Fixed Classifier
Zexi Li
Xinyi Shang
Rui He
Tao R. Lin
Chao Wu
FedML
91
55
0
17 Mar 2023
Learning Single-Index Models with Shallow Neural Networks
Learning Single-Index Models with Shallow Neural Networks
A. Bietti
Joan Bruna
Clayton Sanford
M. Song
186
71
0
27 Oct 2022
Are All Losses Created Equal: A Neural Collapse Perspective
Are All Losses Created Equal: A Neural Collapse Perspective
Jinxin Zhou
Chong You
Xiao Li
Kangning Liu
Sheng Liu
Qing Qu
Zhihui Zhu
72
64
0
04 Oct 2022
Linking Neural Collapse and L2 Normalization with Improved
  Out-of-Distribution Detection in Deep Neural Networks
Linking Neural Collapse and L2 Normalization with Improved Out-of-Distribution Detection in Deep Neural Networks
J. Haas
William Yolland
B. Rabus
OODD
66
19
0
17 Sep 2022
Imbalance Trouble: Revisiting Neural-Collapse Geometry
Imbalance Trouble: Revisiting Neural-Collapse Geometry
Christos Thrampoulidis
Ganesh Ramachandra Kini
V. Vakilian
Tina Behnia
58
73
0
10 Aug 2022
Feature Learning in $L_{2}$-regularized DNNs: Attraction/Repulsion and
  Sparsity
Feature Learning in L2L_{2}L2​-regularized DNNs: Attraction/Repulsion and Sparsity
Arthur Jacot
Eugene Golikov
Clément Hongler
Franck Gabriel
MLT
63
18
0
31 May 2022
Memorization and Optimization in Deep Neural Networks with Minimum
  Over-parameterization
Memorization and Optimization in Deep Neural Networks with Minimum Over-parameterization
Simone Bombari
Mohammad Hossein Amani
Marco Mondelli
64
26
0
20 May 2022
An Unconstrained Layer-Peeled Perspective on Neural Collapse
An Unconstrained Layer-Peeled Perspective on Neural Collapse
Wenlong Ji
Yiping Lu
Yiliang Zhang
Zhun Deng
Weijie J. Su
173
86
0
06 Oct 2021
Neural collapse with unconstrained features
Neural collapse with unconstrained features
D. Mixon
Hans Parshall
Jianzong Pi
72
120
0
23 Nov 2020
Prevalence of Neural Collapse during the terminal phase of deep learning
  training
Prevalence of Neural Collapse during the terminal phase of deep learning training
Vardan Papyan
Xuemei Han
D. Donoho
202
574
0
18 Aug 2020
The Barron Space and the Flow-induced Function Spaces for Neural Network
  Models
The Barron Space and the Flow-induced Function Spaces for Neural Network Models
E. Weinan
Chao Ma
Lei Wu
71
110
0
18 Jun 2019
Implicit Regularization in Deep Matrix Factorization
Implicit Regularization in Deep Matrix Factorization
Sanjeev Arora
Nadav Cohen
Wei Hu
Yuping Luo
AI4CE
85
504
0
31 May 2019
On the Optimization of Deep Networks: Implicit Acceleration by
  Overparameterization
On the Optimization of Deep Networks: Implicit Acceleration by Overparameterization
Sanjeev Arora
Nadav Cohen
Elad Hazan
102
485
0
19 Feb 2018
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